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Finding the Fourth Proportional to 1,177.75, 1,625.30 and 653.77

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Solution

The fourth proportional to 1,177.75, 1,625.30 and 653.77 is: 902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.75 : 1,625.30 = 653.77 : x
  2. Step 2: Convert to fraction form
    1,177.75/1,625.30 = 653.77/x
  3. Step 3: Cross multiply
    1,177.75x = 1,625.30 × 653.77
  4. Step 4: Simplify right side
    1,177.75x = 1,062,569.11
  5. Step 5: Solve for x
    x = 1,062,569.11/1,177.75
  6. Step 6: Final answer
    x = 902.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.